Topics
Real Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
Trigonometry
Arithmetic Progressions
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
Introduction to Trigonometry
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
- Definition: Discriminant
- Formula
- Examples
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Definition: Discriminant
For the quadratic equation ax² + bx + c = 0, a ≠ 0; the expression b² − 4ac is called the discriminant and is, in general, denoted by the letter 'D'.
Thus, discriminant D = b² − 4ac.
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Formula: Quadratic Formula (Shreedharacharya’s Rule)
\[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Key Points: Quadratic Formula (Shreedharacharya's Rule)
-
Write the given equation in the standard form
ax2 + bx + c = 0 -
Identify the values of a, b, and c.
-
Find the value of the discriminant
D = b2 − 4ac -
Substitute the values of a, b, and D in the formula
-
Simplify to obtain the roots.
